Browsing Artículos de revista - Aldizkari artikuluak by Author "1891"
Now showing items 1-11 of 11
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Corrigendum to “Oscillatory motions in restricted N-body problems” [J. Differential Equations 265 (2018) 779–803]
Alvarez-Ramírez, Martha; Rodríguez García, Antonio
; Palacián Subiela, Jesús Francisco ; Yanguas Sayas, Patricia (Elsevier, 2019)
Artículo / Artikulua
At the beginning of paper [1] there is an error that spreads along the rest of the work and the conclusions are not correct in their present form. Precisely, in Section 2, page 783, there is a contradiction related to the ... -
Dynamics in the charged restricted circular three-body problem
Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia (Springer US, 2018)
Artículo / Artikulua 
The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body Problem (shortly, CHRCTBP) is tackled using reduction and averaging theories ... -
Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
Carrasco, Dante; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia (Springer, 2018)
Artículo / Artikulua
We study the dynamics of a family of perturbed three-degree-of-freedom Hamiltonian systems which are in 1:1:1 resonance. The perturbation consists of axially symmetric cubic and quartic arbitrary polynomials. Our analysis ... -
Effects of a soft-core coulomb potential on the dynamics of a hydrogen atom near a metal surface
Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Pascual, Ana Isabel; Salas, José Pablo; Yanguas Sayas, Patricia (Elsevier, 2019)
Artículo / Artikulua
The goal of this paper is to investigate the effects that the replacement of the Coulomb potential by a soft-core Coulomb potential produces in the classical dynamics of a perturbed Rydberg hydrogen atom. As example, we ... -
Normalization through invariants in n-dimensional Kepler problems
Meyer, Kenneth Ray; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia (Pleiades Publishing, 2018)
Artículo / Artikulua
We present a procedure for the normalization of perturbed Keplerian problems in n dimensions based on Moser regularization of the Kepler problem and the invariants associated to the reduction process. The approach allows ... -
On co-orbital quasi-periodic motion in the three-body problem
Cors, Josep Maria; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia (Society for Industrial and Applied Mathematics (SIAM), 2019)
Artículo / Artikulua
Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM 4-tori related to the co-orbital motion of two small moons about a large planet where the moons move in ... -
On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem
Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Yanguas Sayas, Patricia (Pleiades Publishing, 2020)
Artículo / Artikulua
The well-known problem of the nonlinear stability of L4 and L5 in the circular spatial restricted three-body problem is revisited. Some new results in the light of the concept of Lie (formal) stability are presented. In ... -
Oscillatory motions in restricted N-body problems
Alvarez-Ramírez, Martha; Rodríguez García, Antonio; Palacián Subiela, Jesús Francisco ; Yanguas Sayas, Patricia (Elsevier, 2018)
Artículo / Artikulua
We consider the planar restricted N-body problem where the N−1 primaries are assumed to be in a central configuration whereas the infinitesimal particle escapes to infinity in a parabolic orbit. We prove the existence of ... -
Periodic solutions, KAM tori and bifurcations in a cosmology-inspired potential
Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia (IOP Publishing, 2019)
Artículo / Artikulua
A family of perturbed Hamiltonians H = 1/2 (x^2 + X^2) − 1/2 (y^2 + Y^2)+1/2 (z^2 + Z^2) + 2[ (x^4 + y^4 + z^4) + (x^2 y^2 + x^2 z^2 + y^2 z^2)] in 1: −1:1 resonance depending on two real parameters is considered. We ... -
Reeb’s theorem and periodic orbits for a rotating Hénon–Heiles potential
Lanchares, Víctor; Pascual, Ana Isabel; Iñarrea, Manuel; Salas, José Pablo; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia (Springer, 2019)
Artículo / Artikulua
We apply Reeb’s theorem to prove the existence of periodic orbits in the rotating Hénon– Heiles system. To this end, a sort of detuned normal form is calculated that yields a reduced system with at most four non degenerate ... -
Singular reduction of resonant Hamiltonians
Meyer, Kenneth Ray; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia (IOP PublishingLondon Mathematical Society, 2018)
Artículo / Artikulua
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...
